What is the GCF of 9 and 24?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 9 and 24. To solve it, we will need to find the factors of both numbers and identify the largest factor that they have in common.

Answer

The greatest common factor (GCF) of 9 and 24 is $3$.
Answer for screen readers

The greatest common factor (GCF) of 9 and 24 is $3$.

Steps to Solve

  1. Find the factors of 9

To find the factors of 9, we list all the whole numbers that can divide 9 without leaving a remainder. The factors are:

  • 1
  • 3
  • 9
  1. Find the factors of 24

Next, we find the factors of 24 in the same way. The factors of 24 are:

  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 12
  • 24
  1. Identify common factors

Now we look for the factors that both numbers share. The common factors of 9 and 24 are:

  • 1
  • 3
  1. Determine the greatest common factor

Finally, we find the largest number among the common factors. Here, the greatest common factor is:

$$ \text{GCF}(9, 24) = 3 $$

The greatest common factor (GCF) of 9 and 24 is $3$.

More Information

The GCF is the largest factor that two or more numbers have in common. It's useful in simplifying fractions, finding least common multiples, and solving problems that involve divisibility.

Tips

  • Forgetting to list all the factors: Ensure you find all factors of each number.
  • Not checking all common factors: Sometimes only the smallest common factors are recognized. Always identify the largest one.

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